Landau-Lifshitz equation of ferromagnetism: exact treatment of the Gilbert damping

Lakshmanan, M. ; Nakamura, K. (1984) Landau-Lifshitz equation of ferromagnetism: exact treatment of the Gilbert damping Physical Review Letters, 53 (26). pp. 2497-2499. ISSN 0031-9007

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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.53.249...

Related URL: http://dx.doi.org/10.1103/PhysRevLett.53.2497

Abstract

In the Landau-Lifshitz equation which describes the evolution of spin fields in nonequilibrium continuum ferromagnets, by stereographic projection of the unit sphere of spin onto a complex plane, it is shown that the effect of the Landau-Lifshitz-Gilbert damping term is a mere rescaling of time by a complex constant. Consequently, for any given undamped motion of spatially regular and/or irregular spin structures, the nature of the damping can be analyzed exactly in a simplified manner.

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